Epidemic processes with vaccination and immunity loss studied with the BLUES function method

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Epidemic processes with vaccination and immunity loss studied with the BLUES function method. / Berx, Jonas; Indekeu, Joseph O.

In: Physica A: Statistical Mechanics and its Applications, Vol. 590, 126724, 15.03.2022.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Berx, J & Indekeu, JO 2022, 'Epidemic processes with vaccination and immunity loss studied with the BLUES function method', Physica A: Statistical Mechanics and its Applications, vol. 590, 126724. https://doi.org/10.1016/j.physa.2021.126724

APA

Berx, J., & Indekeu, J. O. (2022). Epidemic processes with vaccination and immunity loss studied with the BLUES function method. Physica A: Statistical Mechanics and its Applications, 590, [126724]. https://doi.org/10.1016/j.physa.2021.126724

Vancouver

Berx J, Indekeu JO. Epidemic processes with vaccination and immunity loss studied with the BLUES function method. Physica A: Statistical Mechanics and its Applications. 2022 Mar 15;590. 126724. https://doi.org/10.1016/j.physa.2021.126724

Author

Berx, Jonas ; Indekeu, Joseph O. / Epidemic processes with vaccination and immunity loss studied with the BLUES function method. In: Physica A: Statistical Mechanics and its Applications. 2022 ; Vol. 590.

Bibtex

@article{2c02f2c2fc624b4c8effc8094b0909a5,

title = "Epidemic processes with vaccination and immunity loss studied with the BLUES function method",

abstract = "The Beyond-Linear-Use-of-Equation-Superposition (BLUES) function method is extended to coupled nonlinear ordinary differential equations and applied to the epidemiological SIRS model with vaccination. Accurate analytic approximations are obtained for the time evolution of the susceptible and infected population fractions. The results are compared with those obtained with alternative methods, notably Adomian decomposition, variational iteration and homotopy perturbation. In contrast with these methods, the BLUES iteration converges rapidly, globally, and captures the exact asymptotic behavior for long times. The time of the infection peak is calculated using the BLUES approximants and the results are compared with numerical solutions, which indicate that the method is able to generate useful analytic expressions that coincide with the (numerically) exact ones already for a small number of iterations.",

keywords = "Analytic iteration, Coupled ODEs, Epidemic processes, Matrix BLUES function method, Optimal choice of linear subsystem, SIRS model",

author = "Jonas Berx and Indekeu, {Joseph O.}",

note = "Publisher Copyright: {\textcopyright} 2021",

year = "2022",

month = mar,

day = "15",

doi = "10.1016/j.physa.2021.126724",

language = "English",

volume = "590",

journal = "Physica A: Statistical Mechanics and its Applications",

issn = "0378-4371",

publisher = "Elsevier BV * North-Holland",

}

RIS

TY - JOUR

T1 - Epidemic processes with vaccination and immunity loss studied with the BLUES function method

AU - Berx, Jonas

AU - Indekeu, Joseph O.

PY - 2022/3/15

Y1 - 2022/3/15

N2 - The Beyond-Linear-Use-of-Equation-Superposition (BLUES) function method is extended to coupled nonlinear ordinary differential equations and applied to the epidemiological SIRS model with vaccination. Accurate analytic approximations are obtained for the time evolution of the susceptible and infected population fractions. The results are compared with those obtained with alternative methods, notably Adomian decomposition, variational iteration and homotopy perturbation. In contrast with these methods, the BLUES iteration converges rapidly, globally, and captures the exact asymptotic behavior for long times. The time of the infection peak is calculated using the BLUES approximants and the results are compared with numerical solutions, which indicate that the method is able to generate useful analytic expressions that coincide with the (numerically) exact ones already for a small number of iterations.

AB - The Beyond-Linear-Use-of-Equation-Superposition (BLUES) function method is extended to coupled nonlinear ordinary differential equations and applied to the epidemiological SIRS model with vaccination. Accurate analytic approximations are obtained for the time evolution of the susceptible and infected population fractions. The results are compared with those obtained with alternative methods, notably Adomian decomposition, variational iteration and homotopy perturbation. In contrast with these methods, the BLUES iteration converges rapidly, globally, and captures the exact asymptotic behavior for long times. The time of the infection peak is calculated using the BLUES approximants and the results are compared with numerical solutions, which indicate that the method is able to generate useful analytic expressions that coincide with the (numerically) exact ones already for a small number of iterations.

KW - Analytic iteration

KW - Coupled ODEs

KW - Epidemic processes

KW - Matrix BLUES function method

KW - Optimal choice of linear subsystem

KW - SIRS model

U2 - 10.1016/j.physa.2021.126724

DO - 10.1016/j.physa.2021.126724

M3 - Journal article

AN - SCOPUS:85121769492

VL - 590

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

M1 - 126724

ER -

ID: 371847537

Niels Bohr Institute